A conical tent is 6 m high with radius of base as 8 m. Find the cost of cloth required to make the tent, if one square meter of cloth costs Rs. 28.

Asked by Topperlearning User | 17th Oct, 2017, 09:48: AM

Expert Answer:

Given: Radius (r) = 8 m, height (h) = 6 m, let slant height = l

begin mathsize 12px style l squared italic space equals space straight r squared space plus space straight h squared
l italic space equals space square root of space straight r squared space plus space straight h squared end root
l italic space space equals space square root of 8 squared space plus space 6 squared end root
l italic space space equals space 10 space cm end style

 

Thus, l = 10 cm.

begin mathsize 12px style Curved space surface space area space equals space πr l
equals 22 over 7 cross times 8 cross times 10
equals space 1760 over 7 space straight m squared
end style

Cost of 1 m2 of cloth = Rs. 28

Therefore, cost of 1760 over 7 space straight m squared of cloth = Rs. (1760 over 7×28) = Rs. 7040

Answered by  | 17th Oct, 2017, 11:48: AM